A lower bound for the eigenvalues of the Sen-Witten operator on closed spacelike hypersurfaces

Autor:	Szabados, Laszlo B
Rok vydání:	2007
Předmět:	General Relativity and Quantum Cosmology Mathematics - Differential Geometry
Druh dokumentu:	Working Paper
Popis:	The eigenvalue problem for the Sen--Witten operator on closed spacelike hypersurfaces is investigated. The (square of its) eigenvalues are shown to be given exactly by the 3-surface integral appearing in the expression of the total energy-momentum of the matter+gravity systems in Witten's energy positivity proof. A sharp lower bound for the eigenvalues, given in terms of the constraint parts of the spacetime Einstein tensor, i.e. the energy and momentum densities of the matter fields, is given. Comment: 12 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0712.2785 Zobrazit plný text záznamu View this record from Arxiv